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Finding the Fourth Proportional to 5,114.88, 7,655.04 and 3,168.72

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Solution

The fourth proportional to 5,114.88, 7,655.04 and 3,168.72 is: 4,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.88 : 7,655.04 = 3,168.72 : x
  2. Step 2: Convert to fraction form
    5,114.88/7,655.04 = 3,168.72/x
  3. Step 3: Cross multiply
    5,114.88x = 7,655.04 × 3,168.72
  4. Step 4: Simplify right side
    5,114.88x = 24,256,678.35
  5. Step 5: Solve for x
    x = 24,256,678.35/5,114.88
  6. Step 6: Final answer
    x = 4,742.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.